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                Keep Fit!                </h1>
                <p>时间限制：30s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：128MB</p>			</div>
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                                <h3>题目描述</h3><p><div>You&rsquo;re designing &nbsp;a game console with a special &nbsp;board which can evaluate how balance people &nbsp;are.&nbsp;</div>
<div>After the user stands on the board, it can record the movement of the user's &quot;center of gravity&quot;.&nbsp;</div>
<div>Technically, &nbsp;the record is a sequence of &nbsp;n &nbsp;points &nbsp;on &nbsp;the &nbsp;2D plane &nbsp;(the user's &quot;center of gravity&quot;&nbsp;</div>
<div>projected to the game board), where the origin (0,0) is the center of the game board. Samples are taken&nbsp;</div>
<div>every 0.01 second, so if the user stands on it for one minute, your database gets 6000 sample points. &nbsp;</div>
<div>In order to know better about his balancing status, the user can ask the game console some questions.&nbsp;</div>
<div>Each question (i,j) means: count how many pairs of sample points, chosen from the interval between&nbsp;</div>
<div>the i-th sample and the j-th sample (inclusive), whose Manhattan distance is no more than d, where d&nbsp;</div>
<div>is the preset balance threshold parameter in the system.&nbsp;</div>
<div>Your task is to write a program that can answer the questions. Note that you don't have to answer the&nbsp;</div>
<div>questions one by one. You can read all the questions first, and then answer them.&nbsp;</div>
<div></div>
<div></div>
<p></p></p><hr/><h3>输入格式</h3><p><div>There are no more than 3 test cases. The first line contains three integers n, d, q(1&lt;=n&lt;=200000,&nbsp;</div>
<div>1&lt;=d&lt;=10^8, 1&lt;=q&lt;=10000), the number of points, the balance threshold and the number of queries.&nbsp;</div>
<div>The next n lines contain the coordinates (x,y) (|x|,|y|&lt;=10^8) of the sample points, in order. The points&nbsp;</div>
<div>are numbered 1~n. The next q lines contain the questions (i,j) (1&lt;=i&lt;=j&lt;=n).&nbsp;</div>
<div></div>
<div></div>
<p></p></p><hr/><h3>输出格式</h3><p><div>For each test case, print the case number in the first line, then the answers of the questions, one on&nbsp;</div>
<div>each line.&nbsp;</div>
<p></p></p><hr/><h3>样例输入</h3><pre>5 1 2 
0 0 
1 0 
3 0 
2 1 
2 0 
2 4 
1 5 
5 2 2 
0 0 
1 0 
3 0 
2 1 
2 0 
2 4 
1 5 </pre><hr/><h3>样例输出</h3><pre>Case 1: 
0 
4 
Case 2: 
3 
8 </pre><hr/><h3>提示</h3><p><p>&nbsp;2015年湖南省大学生程序设计竞赛</p></p><hr/><h3>题目来源</h3><p>鸣谢刘汝佳先生授权使用</p>
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